CE6302 MECHANICS OF SOLIDS, Second year, Department of Civil & Mechanical Engineering, Model Exam Questions.

Answer ALL questions
PART A – (10×2=20 marks)
1. Differentiate between thin cylinder and thick cylinder.
2. What do you understand by the term wire winding of thin cylinder
3. Define the term point of contraflexure.
4. What is mean by reaction
5. Define the term “simple bending’
6. Define point of inflexion.
7. What is mean by spring
8. Differentiate between close-coiled and open-coiled helical springs.
9. Define Frame or Truss.
10. A perfect frame consists of 7 members, find the number of joints.

PART B – (5x16=80 marks)
11. a) Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter 25mm and length 1.6m. If the longitudinal strain in a bar during tensile stress is four times the lateral strain. Determain the change in volume, when the bar is subjected to a hydrostatic of 100 N/mm2. Take E= 1x105 N/mm2.
(or)
      b) For a given material, Young’s Modulus is 1 x 105 N/mm2 and Modulus of rigidity is 4 x 104 N/mm2. Find the    bulk modulus and lateral contraction of a round bar of 50 mm diameter and 2.5 m long, when length is increased 2.5 mm.
12.a) A beam of  8m span simply supported at its end carries loads of 2 KN and 5 KN at a distance of 3 m and 6m respectively from right support. In addition, the beam carries a UDL of a 4KN/m for its entire length. Draw the SF and BM diagrams.
(or)
    b) Draw the shear force and bending moment diagram for a simply supported beam of span 9m. The beam carries a UDL of 10KN/m for a distance of 6m from the left support. Find the maximum value and their position. Give the values at important points in the diagram.
13.a) A beam of simply supported 6m long supported at its ends is carrying a point load of 50KN at its center. The moment of inertia of the beam is equal to 78x106 mm4 units. If E for the material of the beam is 2.1x105N/mm2. Calculate deflection at the center.
(or)
     b) A horizontal beam is freely supported ends 8m apart and carries UDL of 15 KN/m over the entire span. Find the maximum deflection. Take E=2x105N/mm2 and I=2x109mm4.
14.a) A hollow shaft is to transmit 200 KW at 80 rpm. If the shear stress is not to exceed 70 MN/m2 and internal diameter is 0.5 of the external diameter.Find the external and internal diameters assuming that maximum torque is 1.6 times the mean.
(or)
    b) A hollow circular shaft 20 mm thick transmits 300 KW at 200rpm. Determine the inner diameter of the shaft if the shear strain is not to exceed 8.6x10-4. Take C=80 GN/m2. Trial and error method can be used.
15.a)  The principal stresses at a point in the section of a heat exchanger shell are 18 Mpa (tensile) and 10 Mpa (compressive) acting mutually perpendicular to each other. Determine the normal, shear and resultant stress intensities on a plane whose normal, is inclined at 600 to 10 Mpa stress. Find also the maximum shear stress.